Rani took a wire of length 44 cm and bent it into the shape of a circle. Find the radius of that circle. Also find its area. If the same wire is bent into shape of a square, what will be the length of each of its sides? Which figure encloses more area, the circle or the square? (Take
=22/7)
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Answer:
radius = 7
area of circle = 154 cm²
length of side of square = 11cm
area of square= 121 cm²
circle encloses more area then the square
Step-by-step explanation:
circumference of circle is 44 cm because the length of the wire is 44cm.
circumference = 2 π r
44 = 2 ×22/7 ×r
r = 44//2 × 7/22
r = 22 × 7/22
r = 7
area of circle= π r²
area = 22/7 × 7²
area = 22×7
area = 154 cm²
perimeter of square = 44
all sides of square are equal so 4x = 44
x = 11
each side of square measure 11 cm
area of square = side ²
= 11²
area of square = 121 cm²
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